On a Harry–Dym-Type Hierarchy: Trigonal Curve and Quasi-Periodic Solutions

Qi Feng and Lihua Wu
Additional contact information
Qi Feng: College of Science, Zhongyuan University of Technology, Zhengzhou 450007, China
Lihua Wu: School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

Mathematics, 2022, vol. 10, issue 3, 1-11

Abstract: Resorting to the characteristic polynomial of Lax matrix for a Harry–Dym-type hierarchy, we define a trigonal curve, on which appropriate vector-valued Baker–Akhiezer function and meromorphic function are introduced. With the help of the theory of trigonal curve and three kinds of Abelian differentials, we obtain the explicit Riemann theta function representations of the meromorphic function, from which we obtain the quasi-periodic solutions for the entire Harry–Dym-type hierarchy.

Keywords: Harry–Dym-type hierarchy; trigonal curve; quasi-periodic solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/3/314/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/3/314/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:3:p:314-:d:729401

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().